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Finding the Fourth Proportional to 2,864.31, 3,952.64 and 1,622.31

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Solution

The fourth proportional to 2,864.31, 3,952.64 and 1,622.31 is: 2,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.31 : 3,952.64 = 1,622.31 : x
  2. Step 2: Convert to fraction form
    2,864.31/3,952.64 = 1,622.31/x
  3. Step 3: Cross multiply
    2,864.31x = 3,952.64 × 1,622.31
  4. Step 4: Simplify right side
    2,864.31x = 6,412,399.29
  5. Step 5: Solve for x
    x = 6,412,399.29/2,864.31
  6. Step 6: Final answer
    x = 2,238.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.